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Finding the Fourth Proportional to 120,200.70, 180,082.35 and 97,893.30

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Solution

The fourth proportional to 120,200.70, 180,082.35 and 97,893.30 is: 146,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,200.70 : 180,082.35 = 97,893.30 : x
  2. Step 2: Convert to fraction form
    120,200.70/180,082.35 = 97,893.30/x
  3. Step 3: Cross multiply
    120,200.70x = 180,082.35 × 97,893.30
  4. Step 4: Simplify right side
    120,200.70x = 17,628,855,513.26
  5. Step 5: Solve for x
    x = 17,628,855,513.26/120,200.70
  6. Step 6: Final answer
    x = 146,661.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.